Finding the Third Proportional to 31,779 and 49,065

Step by Step Solution

1. Step 1: Write the proportion equation
   31,779 : 49,065 = 49,065 : x
2. Step 2: Convert to fraction form
   31,779/49,065 = 49,065/x
3. Step 3: Cross multiply
   31,779x = 49,065 × 49,065
4. Step 4: Simplify right side
   31,779x = 2,407,374,225
5. Step 5: Solve for x
   x = 2,407,374,225/31,779
6. Step 6: Final answer
   x = 75,753.62